The cost of four scarfs and six hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of o

Question

Leona [35]

2 years ago

6

The cost of four scarfs and six hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of o

ne scarf and one hat?

Mathematics

2 answers:

timurjin [86] · Answer 1 · 2022-01-27T09:35:19+03:00

Four scarves and six hats is $52.00
4s+6h=52 

two hats is $1.00 more than the cost of one scarf. 
2h=1s+1 
2h=s+1 
s=2h-1 

substitute for s 
4s+6h=52 
4(2h-1)+6h=52 
8h-4+6h=52 
14h=56 
h=4 

s=2h-1 
s=8-1 
s=7 

a scarf cost $7 
a hat cost $4

WINSTONCH [101] · Answer 2 · 2022-01-27T11:14:29+03:00

Answer with Step-by-step explanation:

Let s represents the cost of scarfs

and h represents the cost of hats.

Cost of four scarfs and six hats is $52.00

i.e. 4s+6h=52

Cost of two hats is $1.00 more than the cost of one scarf.

i.e. 2h=s+1

s=2h-1

substituting s in 4s+6h=52

4(2h-1)+6h=52

8h-4+6h=52

14h=56

h=4

s=2h-1

s=8-1

s=7

Hence,

Cost of one scarf= $7

and Cost of one hat= $4